Question

In: Finance

Gerry pays $W to buy a ten-year annuity with end-of-year payments of $1,400. This purchase price...

Gerry pays $W to buy a ten-year annuity with end-of-year payments of $1,400. This purchase price allows her to replace her capital by means of a savings account that has an annual effective interest rate of 3% and also to earn an overall annual yield of 6% for the ten years of the annuity. Find W.? The answer is 9508.9. Please show steps to the answer without use of excel.

Solutions

Expert Solution

Opening Balance
(A)
Interest at 7.73%
(B)
Total Closing
(A)+(B)=©
Annuity
(D)
Balance at year End
©-(D)
    9,508.90            735.04        10,243.94    1,400.00           8,843.94
    8,843.94            683.64          9,527.57    1,400.00           8,127.57
    8,127.57            628.26          8,755.84    1,400.00           7,355.84
    7,355.84            568.61          7,924.44    1,400.00           6,524.44
    6,524.44            504.34          7,028.78    1,400.00           5,628.78
    5,628.78            435.10          6,063.89    1,400.00           4,663.89
    4,663.89            360.52          5,024.40    1,400.00           3,624.40
    3,624.40            280.17          3,904.57    1,400.00           2,504.57
    2,504.57            193.60          2,698.17    1,400.00           1,298.17
    1,298.17            100.35          1,398.52    1,400.00                (1.48)

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